3. the population of columbus, ohio, in 2014 was about 823,000. the population of the united states was about 319 million in 2014. (a) write each population in scientific notation. (b) about how many times larger was the population of the united states than the population of columbus, ohio? show your work.

The answer to your question is:

a)

8.23 x 10 ⁵

3.19 x 10⁸

b)

387.6 ≈ 388 times

Step-by-step explanation:

Columbus, Ohio population = 823, 000

United states population = 319 million

a)

        823 000 = 8.23 x 10 ⁵         move the decimal point 5 places to the left

 319 000 000  = 3.19 x 10⁸         move the decimal point 8 places to the left

b)

To find the answer, just divide the USA population by the Columbus, Ohio population

       3.19 x 10⁸ / 8.23 x 10 ⁵ = 387.6 ≈ 388 times

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,